{
  "id": "1512.08016",
  "version": "v1",
  "published": "2015-12-25T16:47:08.000Z",
  "updated": "2015-12-25T16:47:08.000Z",
  "title": "Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence",
  "authors": [
    "Yusuke Ohkubo",
    "Hidetoshi Awata",
    "Hiroki Fujino"
  ],
  "comment": "32 pages, 1 figure",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "In this paper, we consider the $q \\rightarrow 0$ limit of the deformed Virasoro algebra and that of the level 1, 2 representation of Ding-Iohara-Miki algebra. Moreover, 5D AGT correspondence at this limit is discussed. This specialization corresponds to the limit from Macdonalds functions to Hall-Littlewood functions. Using the theory of Hall-Littlewood functions, some problems are solved. For example, we obtain a formula for the 4-point correlation function of a certain operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-25T16:47:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "5d agt correspondence",
      "deformed virasoro algebra",
      "ding-iohara-miki algebra",
      "hall-littlewood functions",
      "crystallization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151208016O",
      "inspire": 1411511
    }
  }
}